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Finding the Third Proportional to 149,190,124.09 and 313,840,302.81

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Solution

The third proportional to 149,190,124.09 and 313,840,302.81 is: 660,202,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,190,124.09 : 313,840,302.81 = 313,840,302.81 : x
  2. Step 2: Convert to fraction form
    149,190,124.09/313,840,302.81 = 313,840,302.81/x
  3. Step 3: Cross multiply
    149,190,124.09x = 313,840,302.81 × 313,840,302.81
  4. Step 4: Simplify right side
    149,190,124.09x = 98,495,735,668,820,304
  5. Step 5: Solve for x
    x = 98,495,735,668,820,304/149,190,124.09
  6. Step 6: Final answer
    x = 660,202,786.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.